While Carey Price was criticized for having a poor outing, the fact is that many of the shots he faced were coming from right in front of the net. He may deserve some of the blame for the second goal against after misplaying the puck behind the net, but even in that case the two defenders he had as passing options were closely marked by Oilers forwards.
The whole point of the switch to zone defence was to prevent high-danger shots from in close and reduce the workload on Price, but that clearly wasn’t executed last night.